w-Eiux.ee#IE.XI=lXI,qIdadicmodce- Couve KEE ) Ho ( Xp ht Classica - - PDF document

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w-Eiux.ee#IE.XI=lXI,qIdadicmodce- Couve KEE ) Ho ( Xp ht Classica - - PDF document

Higher Coleman Theory w , Vincent Pillon i - of modular Case Curve modular XXdM/zp cure LE , C) modal : 0f CE ECM alr p t-Iwahooi-kpkpaz.BE 64cg ) WIKI moduler leur bundle w-Eiux.ee#IE.XI=lXI,qIdadicmodce- Couve KEE ) Ho ( Xp


slide-1
SLIDE 1

Higher

Coleman Theory

w, Vincent

Pillon i

  • Case
  • f modular

Curve

  • XÉXdM/zp

modular

cure

modal :

0f

LE, C)

CE ECM alr

p

t-Iwahooi-kpkpaz.BE 64cg)

  • WIKI

moduler

leur bundle

w-Eiux.ee#IE.XI=lXI,qIdadicmodce-

Couve

slide-2
SLIDE 2

KEE

Ho ( Xp ht

)

Classica wth

modeler forms

1=0

Kao)

WE

can

also

Lode

at

H

' Huile HTXI,w"team

genre

dudit

  • (

+ Kodaira

  • Spencer

Km : developer

they

  • f

p

  • adic

moduler f- ms

for

tt

slide-3
SLIDE 3

Picter

OEVXI :

'%

← Ed

XI xË¥¥¥

⇐can

is.

↳ !

XIIFP

" Pants E

EC

Food

  • rdcnoy reduction

cas

  • - berce

→ EID)

alr p

We

can

fake

a

strict

nbhdxq.de#fVcnncousidevHolV,wY

slide-4
SLIDE 4

Basic

  • bservation :

the msn.com

map

S its

in

a 4

feras

exact ser

  • -SHEXIM-stcviitstzxpnYstkx.cn?.Z-HI-V

( Raniadû Rtz

is dead face

f

Tz

  • f Secteurs

scppokrdinz

in Knud the

is

a tn

  • de

Rrzcx

,

  • ↳ Rrcx

,

  • Iancu

,

  • ts

Weed

to

boum

in

Up - CI (

' pdt)

VPLE

, c) =/

4Eme) là#of

slide-5
SLIDE 5

Dynamics

  • f

Up

↳Ccas

C'ÏËËË:

Canonical a-

We nerd

a way to

mensure

when

we

are

  • n

59

tous

  • Codd vx

V ( Hal

  • u fauves

des

fonction

  • Codd

use

tlmt

LE

,%Âp¥ - ¥Î→ N' = LEE)y↳ |

  • rdonner

V

MHII

(EN XI-NDI.TK/Ic-iI.!.LIl'pa7T-7

Space

  • louchais t
slide-6
SLIDE 6

(E)ZàÂr E)Brocart)

Ü

Zgfoxr -TPE

R → crie

Xp

nàü⇒

xaËÏ- Nii

KÎOIII

  • For

AEG

( et

KIP

'

be

the

  • pen Tate

disc

avant

0f

radios

p

  • x

[ et

2×-1

"

  • va
slide-7
SLIDE 7

Dynamo

.ca/rfactsiUplUsiI)EUa+iId70UptC2xI)E2x-iIdE0

p

Hm

  • ( au delire

some

cdxmdos.es

tqdk-ttolnriialva-II.my

dzo

Hurlait

(↳⇒HIM

do

Have

4- ton

score -

  • → Hoth

,

→ H!.lk/sHL,.lHstitf-i!o

slide-8
SLIDE 8

Analytics

Continuation

:

Up

Up

R

←Compact

Hind" →toi,d4ÎH:* .tn

t -

Ë

"

Up

is compact

  • n

f4,14)

→ canton

Hq,

f5

← finale

Store ie

.

alg

dcoect { un 0f

yen

eégagoeaos

for

Up

v1 ↳ Uzxo

légende

qnd

,

are

all

isomorphe

call

it

pfqqepfs

slide-9
SLIDE 9

Sanitary

H!

t '

are all

isomorphe :c ,

call

it

it

tweets

  • -stMX-iifsriats-Hincntssticx.at

Classico

prof

:

Valetions of liseuses

  • the stops
  • f Upon HIM

are 21

  • The stops of Up
  • n t'

wlkltsave zu

slide-10
SLIDE 10

Coy ( Coleman

Classialitx )

  • HEY,ûŒsH:(ni

"

  • Hwa) " → N' Etait

"

( dea

0f pf

  • f

prof

.
  • For

Hf ( K)

hestrict

to

  • nde - Y

loues

and

ch

q - expansions

r

Serre torse

cools

For Hillel

"

Z

slide-11
SLIDE 11

E- → Etc

q

can

WEK.ae?WE

H

du" papa

."

↳PTÙE

mod p

  • u Z
  • General

Shimon

varieras

  • ( ÇX)

Shimura datas

  • f

Ab type

  • p

prime

6qpqmsispl.t.TEOEPEGqpp.us/Vlnk-evi

p

Pardsdic

associer N

  • Fl

= Pulbap

  • W

absolue Weyl

story of

G

VI

MW

Set

  • f

cnn.me/leusthterSWmlW

slide-12
SLIDE 12
  • IEKqdfnaho-i.tt
  • {

t.cl#IvcxctHzoV-xC-oIt3TH=

(

(

> 0

  • HI-rccCIIKGII.ca)

U

7ft = Span [Itt]

fort et

( s

GG

from

now

  • n

"finis

score" will

qlwoxs

Man

fou

Ht

→ Shimura

vanetx

SI

By

C- S

te haie

a dins - m

slide-13
SLIDE 13

maïs

Fl

Slam

von

I

I

v

SÉVI

FUI

OU interprétation

  • f Mw

is that

it

is

Fixplfer

Paul

  • We

will consiste

the

rosions

Ma

( Pin

  • I)

for

we Mw

slide-14
SLIDE 14

For

6--64

these

un

exactH Canonical / anti canonial

ad

( oci

Mon

esehedly

if

boy

is 85pl.it

,

then

am

qq.sn

Components

  • f

Ovdccoy

(as

vu ⇒ tel

pas

  • f

Led

Huy

and

Canonical

bubgp

Et

in gene -I

they

can

be

was

Old choix

( cran µ

  • ondvny)

EI : 6- Re ) 64

F

ne-19rad

feed

FIG

P

ineut

in F

w=Mw - 94nF

slide-15
SLIDE 15

( 1,1) , Carl ⇒

coin laissé ad [•ces

(4), CYD

⇒ tous

une

ACM -1T, Atta

  • Cohérent

Cohomdo»

KEXXTT)Mt → Vyl SI

automorphe

Vector bundle

ne

vont te

stcdt Rtl # Vie)

These

can

be

compact

  • utans
  • f

automorphe :c forms

( Harris

, Sç? M aut rep

  • for GUA )

contribues

Cordons

to tp

slide-16
SLIDE 16

The temporal to

which

contra ate

"nondegem.ae

  • 1. mif >
  • fdcsaeoe

Serres"

Au

t

  • packet

is

associated

to

a

v EÆCTI

verte

Ip

ihfcnifes.mg/cheaetoo

The L - packet

containers

to

Het" ( SI, Van)

for

we Mw

such

that

kw-r-w.pawcttd-rism-dom.n.at

G-

slide-17
SLIDE 17

The

pique

feu

6=6584

  • '

→ kzl

LYON)

  • .

'

.

Htuts

ÆâËI HIHI

¥441

'Now

iï÷ï

< . ' . .
  • (-490,4)

Http HZ Http

K -14,27 → Vésicule cadets

  • Au
  • herv.eu
  • f

Hisham

Coleman

Theory

.
  • Construit

for

each

WEMW

au

KOWC.mn ont

chaud -À

RIC Kf5

by

taken >

Cohomdasy y

supp out

  • f

he

in

some

ubhd

  • f

My

in

  • Il
slide-18
SLIDE 18
  • Constat

a

spectral

Suce - e

EF = t'ICH ⇒ tente# va

wenn laser

when

6-Glr it

is

just

the

4 team

exact

serveuse

.
  • We

proie

a

Corner

bord

  • n

Horos Fo

  • WEIYW

, te Tt

the

Stones

CITI)

  • u RICK)

que

zvfdiwgmkll.tl)

  • ( 4f

classico .# thon ( "seouxttic

")

If

Kto

Maxtor

and

w

w

is

S

  • t
.
  • W
  • tu

KE

It

slide-19
SLIDE 19

Then

RMSI,vËËRvm"

"l "

Step:p

  • adieu

ray

the

Sheet

for each wftw

, vite) → est

we

can Street

"locaux cndytic

Oter conversent

Cdroondosy"

RE.a.cn

"

This

is

cohomdosy

  • f

a bis

Kent

%

V

Game

support

conditions

a s in def

  • f

Rr

v

slide-20
SLIDE 20
  • For

ke #

'" t

↳ t

D=

  • Wiwa

,

( Kto)

  • P

we get a

map of Shores

  • 4. → to

which

looks locales

( can

the

inclusion

  • f

alg induction

info

(oc analyte

induction

.

f5

f5

→ RHHSRfy.lv )

2nd

classico

thon

RTWLKÎËR? . .#

"m""

slide-21
SLIDE 21

Mon

Rt

, auto )

tant

f-adiax →

construit

Eisen cakes